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We use types in programming, often without realizing how deeply rooted they are in the foundations of mathematics. There is a constant flow of ideas from type theory to programming (and back). We are familiar with algebraic data types; inductive types, like lists or trees; we've heard of dependent types and, in the future, we might encounter identity types and possibly get familiar with elements of homotopy type theory. I can't possibly talk about all of this, but I'll try to give you a little taste.
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A Taste of Type Theory
Bartosz started as a physicist. He has a Ph.D. in quantum field theory. Then he got into programming, worked eight years for Microsoft as a software engineer implementing the search engine in Windows. He wrote a book about C++ and started a popular programming blog. He rediscovered his fascination with mathematics through Haskell. His blog turned into an online book on category theory for programmers.